packages feed

texmath-0.12.5: test/writer/omml/sphere_volume.test

<<< native
[ EIdentifier "S"
, ESymbol Rel "="
, ESymbol Open "{"
, ENumber "0"
, ESymbol Rel "\8804"
, EIdentifier "\981"
, ESymbol Rel "\8804"
, ENumber "2"
, EIdentifier "\960"
, ESymbol Pun ","
, ESpace (2 % 9)
, ENumber "0"
, ESymbol Rel "\8804"
, EIdentifier "\952"
, ESymbol Rel "\8804"
, EIdentifier "\960"
, ESymbol Pun ","
, ESpace (2 % 9)
, ENumber "0"
, ESymbol Rel "\8804"
, EIdentifier "\961"
, ESymbol Rel "\8804"
, EIdentifier "R"
, ESymbol Close "}"
, EArray
    [ AlignRight , AlignLeft ]
    [ [ [ EStyled
            TextNormal
            [ EIdentifier "V"
            , EIdentifier "o"
            , EIdentifier "l"
            , EIdentifier "u"
            , EIdentifier "m"
            , EIdentifier "e"
            ]
        ]
      , [ ESymbol Rel "="
        , EUnder False (ESymbol Op "\8749") (EIdentifier "S")
        , ESpace ((-1) % 6)
        , ESuper (EIdentifier "\961") (ENumber "2")
        , EMathOperator "sin"
        , EIdentifier "\952"
        , ESpace (1 % 6)
        , EStyled TextNormal [ EIdentifier "d" ]
        , EIdentifier "\961"
        , ESpace (1 % 6)
        , EStyled TextNormal [ EIdentifier "d" ]
        , EIdentifier "\952"
        , ESpace (1 % 6)
        , EStyled TextNormal [ EIdentifier "d" ]
        , EIdentifier "\981"
        ]
      ]
    , [ []
      , [ ESymbol Rel "="
        , ESubsup
            (ESymbol Op "\8747")
            (ENumber "0")
            (EGrouped [ ENumber "2" , EIdentifier "\960" ])
        , ESpace ((-1) % 6)
        , EStyled TextNormal [ EIdentifier "d" ]
        , EIdentifier "\981"
        , ESpace (1 % 6)
        , ESubsup (ESymbol Op "\8747") (ENumber "0") (EIdentifier "\960")
        , ESpace ((-1) % 6)
        , EMathOperator "sin"
        , EIdentifier "\952"
        , ESpace (1 % 6)
        , EStyled TextNormal [ EIdentifier "d" ]
        , EIdentifier "\952"
        , ESpace (1 % 6)
        , ESubsup (ESymbol Op "\8747") (ENumber "0") (EIdentifier "R")
        , ESpace ((-1) % 6)
        , ESuper (EIdentifier "\961") (ENumber "2")
        , EStyled TextNormal [ EIdentifier "d" ]
        , EIdentifier "\961"
        ]
      ]
    , [ []
      , [ ESymbol Rel "="
        , EIdentifier "\981"
        , ESubsup
            (EScaled (9 % 5) (ESymbol Open "|"))
            (ENumber "0")
            (EGrouped [ ENumber "2" , EIdentifier "\960" ])
        , ESpace (2 % 9)
        , EDelimited
            "("
            ")"
            [ Right (ESymbol Op "\8722")
            , Right (EMathOperator "cos")
            , Right (EIdentifier "\952")
            ]
        , ESubsup
            (EScaled (9 % 5) (ESymbol Open "|"))
            (ENumber "0")
            (EIdentifier "\960")
        , ESpace (2 % 9)
        , EFraction InlineFrac (ENumber "1") (ENumber "3")
        , ESuper (EIdentifier "\961") (ENumber "3")
        , ESubsup
            (EScaled (9 % 5) (ESymbol Open "|"))
            (ENumber "0")
            (EIdentifier "R")
        ]
      ]
    , [ []
      , [ ESymbol Rel "="
        , ENumber "2"
        , EIdentifier "\960"
        , ESymbol Bin "\215"
        , ENumber "2"
        , ESymbol Bin "\215"
        , EFraction InlineFrac (ENumber "1") (ENumber "3")
        , ESuper (EIdentifier "R") (ENumber "3")
        ]
      ]
    , [ []
      , [ ESymbol Rel "="
        , EFraction InlineFrac (ENumber "4") (ENumber "3")
        , EIdentifier "\960"
        , ESuper (EIdentifier "R") (ENumber "3")
        ]
      ]
    ]
]
>>> omml
<?xml version='1.0' ?>
<m:oMathPara>
  <m:oMathParaPr>
    <m:jc m:val="center" />
  </m:oMathParaPr>
  <m:oMath>
    <m:r>
      <m:t>S</m:t>
    </m:r>
    <m:r>
      <m:rPr>
        <m:sty m:val="p" />
      </m:rPr>
      <m:t>=</m:t>
    </m:r>
    <m:r>
      <m:rPr>
        <m:sty m:val="p" />
      </m:rPr>
      <m:t>{</m:t>
    </m:r>
    <m:r>
      <m:t>0</m:t>
    </m:r>
    <m:r>
      <m:rPr>
        <m:sty m:val="p" />
      </m:rPr>
      <m:t>≤</m:t>
    </m:r>
    <m:r>
      <m:t>ϕ</m:t>
    </m:r>
    <m:r>
      <m:rPr>
        <m:sty m:val="p" />
      </m:rPr>
      <m:t>≤</m:t>
    </m:r>
    <m:r>
      <m:t>2</m:t>
    </m:r>
    <m:r>
      <m:t>π</m:t>
    </m:r>
    <m:r>
      <m:rPr>
        <m:sty m:val="p" />
      </m:rPr>
      <m:t>,</m:t>
    </m:r>
    <m:r>
      <m:t> </m:t>
    </m:r>
    <m:r>
      <m:t>0</m:t>
    </m:r>
    <m:r>
      <m:rPr>
        <m:sty m:val="p" />
      </m:rPr>
      <m:t>≤</m:t>
    </m:r>
    <m:r>
      <m:t>θ</m:t>
    </m:r>
    <m:r>
      <m:rPr>
        <m:sty m:val="p" />
      </m:rPr>
      <m:t>≤</m:t>
    </m:r>
    <m:r>
      <m:t>π</m:t>
    </m:r>
    <m:r>
      <m:rPr>
        <m:sty m:val="p" />
      </m:rPr>
      <m:t>,</m:t>
    </m:r>
    <m:r>
      <m:t> </m:t>
    </m:r>
    <m:r>
      <m:t>0</m:t>
    </m:r>
    <m:r>
      <m:rPr>
        <m:sty m:val="p" />
      </m:rPr>
      <m:t>≤</m:t>
    </m:r>
    <m:r>
      <m:t>ρ</m:t>
    </m:r>
    <m:r>
      <m:rPr>
        <m:sty m:val="p" />
      </m:rPr>
      <m:t>≤</m:t>
    </m:r>
    <m:r>
      <m:t>R</m:t>
    </m:r>
    <m:r>
      <m:rPr>
        <m:sty m:val="p" />
      </m:rPr>
      <m:t>}</m:t>
    </m:r>
    <m:m>
      <m:mPr>
        <m:baseJc m:val="center" />
        <m:plcHide m:val="1" />
        <m:mcs>
          <m:mc>
            <m:mcPr>
              <m:mcJc m:val="right" />
              <m:count m:val="1" />
            </m:mcPr>
          </m:mc>
          <m:mc>
            <m:mcPr>
              <m:mcJc m:val="left" />
              <m:count m:val="1" />
            </m:mcPr>
          </m:mc>
        </m:mcs>
      </m:mPr>
      <m:mr>
        <m:e>
          <m:r>
            <m:rPr>
              <m:sty m:val="p" />
            </m:rPr>
            <m:t>V</m:t>
          </m:r>
          <m:r>
            <m:rPr>
              <m:sty m:val="p" />
            </m:rPr>
            <m:t>o</m:t>
          </m:r>
          <m:r>
            <m:rPr>
              <m:sty m:val="p" />
            </m:rPr>
            <m:t>l</m:t>
          </m:r>
          <m:r>
            <m:rPr>
              <m:sty m:val="p" />
            </m:rPr>
            <m:t>u</m:t>
          </m:r>
          <m:r>
            <m:rPr>
              <m:sty m:val="p" />
            </m:rPr>
            <m:t>m</m:t>
          </m:r>
          <m:r>
            <m:rPr>
              <m:sty m:val="p" />
            </m:rPr>
            <m:t>e</m:t>
          </m:r>
        </m:e>
        <m:e>
          <m:r>
            <m:rPr>
              <m:sty m:val="p" />
            </m:rPr>
            <m:t>=</m:t>
          </m:r>
          <m:nary>
            <m:naryPr>
              <m:chr m:val="∭" />
              <m:limLoc m:val="undOvr" />
              <m:subHide m:val="0" />
              <m:supHide m:val="1" />
            </m:naryPr>
            <m:sub>
              <m:r>
                <m:t>S</m:t>
              </m:r>
            </m:sub>
            <m:sup>
              <m:r>
                <m:t>&#8203;</m:t>
              </m:r>
            </m:sup>
            <m:e>
              <m:r>
                <m:t>&#8203;</m:t>
              </m:r>
            </m:e>
          </m:nary>
          <m:sSup>
            <m:e>
              <m:r>
                <m:t>ρ</m:t>
              </m:r>
            </m:e>
            <m:sup>
              <m:r>
                <m:t>2</m:t>
              </m:r>
            </m:sup>
          </m:sSup>
          <m:r>
            <m:rPr>
              <m:sty m:val="p" />
            </m:rPr>
            <m:t>sin</m:t>
          </m:r>
          <m:r>
            <m:t>θ</m:t>
          </m:r>
          <m:r>
            <m:t> </m:t>
          </m:r>
          <m:r>
            <m:rPr>
              <m:sty m:val="p" />
            </m:rPr>
            <m:t>d</m:t>
          </m:r>
          <m:r>
            <m:t>ρ</m:t>
          </m:r>
          <m:r>
            <m:t> </m:t>
          </m:r>
          <m:r>
            <m:rPr>
              <m:sty m:val="p" />
            </m:rPr>
            <m:t>d</m:t>
          </m:r>
          <m:r>
            <m:t>θ</m:t>
          </m:r>
          <m:r>
            <m:t> </m:t>
          </m:r>
          <m:r>
            <m:rPr>
              <m:sty m:val="p" />
            </m:rPr>
            <m:t>d</m:t>
          </m:r>
          <m:r>
            <m:t>ϕ</m:t>
          </m:r>
        </m:e>
      </m:mr>
      <m:mr>
        <m:e />
        <m:e>
          <m:r>
            <m:rPr>
              <m:sty m:val="p" />
            </m:rPr>
            <m:t>=</m:t>
          </m:r>
          <m:nary>
            <m:naryPr>
              <m:chr m:val="∫" />
              <m:limLoc m:val="subSup" />
              <m:subHide m:val="0" />
              <m:supHide m:val="0" />
            </m:naryPr>
            <m:sub>
              <m:r>
                <m:t>0</m:t>
              </m:r>
            </m:sub>
            <m:sup>
              <m:r>
                <m:t>2</m:t>
              </m:r>
              <m:r>
                <m:t>π</m:t>
              </m:r>
            </m:sup>
            <m:e>
              <m:r>
                <m:t>&#8203;</m:t>
              </m:r>
            </m:e>
          </m:nary>
          <m:r>
            <m:rPr>
              <m:sty m:val="p" />
            </m:rPr>
            <m:t>d</m:t>
          </m:r>
          <m:r>
            <m:t>ϕ</m:t>
          </m:r>
          <m:r>
            <m:t> </m:t>
          </m:r>
          <m:nary>
            <m:naryPr>
              <m:chr m:val="∫" />
              <m:limLoc m:val="subSup" />
              <m:subHide m:val="0" />
              <m:supHide m:val="0" />
            </m:naryPr>
            <m:sub>
              <m:r>
                <m:t>0</m:t>
              </m:r>
            </m:sub>
            <m:sup>
              <m:r>
                <m:t>π</m:t>
              </m:r>
            </m:sup>
            <m:e>
              <m:r>
                <m:t>&#8203;</m:t>
              </m:r>
            </m:e>
          </m:nary>
          <m:r>
            <m:rPr>
              <m:sty m:val="p" />
            </m:rPr>
            <m:t>sin</m:t>
          </m:r>
          <m:r>
            <m:t>θ</m:t>
          </m:r>
          <m:r>
            <m:t> </m:t>
          </m:r>
          <m:r>
            <m:rPr>
              <m:sty m:val="p" />
            </m:rPr>
            <m:t>d</m:t>
          </m:r>
          <m:r>
            <m:t>θ</m:t>
          </m:r>
          <m:r>
            <m:t> </m:t>
          </m:r>
          <m:nary>
            <m:naryPr>
              <m:chr m:val="∫" />
              <m:limLoc m:val="subSup" />
              <m:subHide m:val="0" />
              <m:supHide m:val="0" />
            </m:naryPr>
            <m:sub>
              <m:r>
                <m:t>0</m:t>
              </m:r>
            </m:sub>
            <m:sup>
              <m:r>
                <m:t>R</m:t>
              </m:r>
            </m:sup>
            <m:e>
              <m:r>
                <m:t>&#8203;</m:t>
              </m:r>
            </m:e>
          </m:nary>
          <m:sSup>
            <m:e>
              <m:r>
                <m:t>ρ</m:t>
              </m:r>
            </m:e>
            <m:sup>
              <m:r>
                <m:t>2</m:t>
              </m:r>
            </m:sup>
          </m:sSup>
          <m:r>
            <m:rPr>
              <m:sty m:val="p" />
            </m:rPr>
            <m:t>d</m:t>
          </m:r>
          <m:r>
            <m:t>ρ</m:t>
          </m:r>
        </m:e>
      </m:mr>
      <m:mr>
        <m:e />
        <m:e>
          <m:r>
            <m:rPr>
              <m:sty m:val="p" />
            </m:rPr>
            <m:t>=</m:t>
          </m:r>
          <m:r>
            <m:t>ϕ</m:t>
          </m:r>
          <m:sSubSup>
            <m:e>
              <m:r>
                <m:rPr>
                  <m:sty m:val="p" />
                </m:rPr>
                <m:t>|</m:t>
              </m:r>
            </m:e>
            <m:sub>
              <m:r>
                <m:t>0</m:t>
              </m:r>
            </m:sub>
            <m:sup>
              <m:r>
                <m:t>2</m:t>
              </m:r>
              <m:r>
                <m:t>π</m:t>
              </m:r>
            </m:sup>
          </m:sSubSup>
          <m:r>
            <m:t> </m:t>
          </m:r>
          <m:d>
            <m:dPr>
              <m:begChr m:val="(" />
              <m:endChr m:val=")" />
              <m:sepChr m:val="" />
              <m:grow />
            </m:dPr>
            <m:e>
              <m:r>
                <m:rPr>
                  <m:sty m:val="p" />
                </m:rPr>
                <m:t>−</m:t>
              </m:r>
              <m:r>
                <m:rPr>
                  <m:sty m:val="p" />
                </m:rPr>
                <m:t>cos</m:t>
              </m:r>
              <m:r>
                <m:t>θ</m:t>
              </m:r>
            </m:e>
          </m:d>
          <m:sSubSup>
            <m:e>
              <m:r>
                <m:rPr>
                  <m:sty m:val="p" />
                </m:rPr>
                <m:t>|</m:t>
              </m:r>
            </m:e>
            <m:sub>
              <m:r>
                <m:t>0</m:t>
              </m:r>
            </m:sub>
            <m:sup>
              <m:r>
                <m:t>π</m:t>
              </m:r>
            </m:sup>
          </m:sSubSup>
          <m:r>
            <m:t> </m:t>
          </m:r>
          <m:f>
            <m:fPr>
              <m:type m:val="lin" />
            </m:fPr>
            <m:num>
              <m:r>
                <m:t>1</m:t>
              </m:r>
            </m:num>
            <m:den>
              <m:r>
                <m:t>3</m:t>
              </m:r>
            </m:den>
          </m:f>
          <m:sSup>
            <m:e>
              <m:r>
                <m:t>ρ</m:t>
              </m:r>
            </m:e>
            <m:sup>
              <m:r>
                <m:t>3</m:t>
              </m:r>
            </m:sup>
          </m:sSup>
          <m:sSubSup>
            <m:e>
              <m:r>
                <m:rPr>
                  <m:sty m:val="p" />
                </m:rPr>
                <m:t>|</m:t>
              </m:r>
            </m:e>
            <m:sub>
              <m:r>
                <m:t>0</m:t>
              </m:r>
            </m:sub>
            <m:sup>
              <m:r>
                <m:t>R</m:t>
              </m:r>
            </m:sup>
          </m:sSubSup>
        </m:e>
      </m:mr>
      <m:mr>
        <m:e />
        <m:e>
          <m:r>
            <m:rPr>
              <m:sty m:val="p" />
            </m:rPr>
            <m:t>=</m:t>
          </m:r>
          <m:r>
            <m:t>2</m:t>
          </m:r>
          <m:r>
            <m:t>π</m:t>
          </m:r>
          <m:r>
            <m:rPr>
              <m:sty m:val="p" />
            </m:rPr>
            <m:t>×</m:t>
          </m:r>
          <m:r>
            <m:t>2</m:t>
          </m:r>
          <m:r>
            <m:rPr>
              <m:sty m:val="p" />
            </m:rPr>
            <m:t>×</m:t>
          </m:r>
          <m:f>
            <m:fPr>
              <m:type m:val="lin" />
            </m:fPr>
            <m:num>
              <m:r>
                <m:t>1</m:t>
              </m:r>
            </m:num>
            <m:den>
              <m:r>
                <m:t>3</m:t>
              </m:r>
            </m:den>
          </m:f>
          <m:sSup>
            <m:e>
              <m:r>
                <m:t>R</m:t>
              </m:r>
            </m:e>
            <m:sup>
              <m:r>
                <m:t>3</m:t>
              </m:r>
            </m:sup>
          </m:sSup>
        </m:e>
      </m:mr>
      <m:mr>
        <m:e />
        <m:e>
          <m:r>
            <m:rPr>
              <m:sty m:val="p" />
            </m:rPr>
            <m:t>=</m:t>
          </m:r>
          <m:f>
            <m:fPr>
              <m:type m:val="lin" />
            </m:fPr>
            <m:num>
              <m:r>
                <m:t>4</m:t>
              </m:r>
            </m:num>
            <m:den>
              <m:r>
                <m:t>3</m:t>
              </m:r>
            </m:den>
          </m:f>
          <m:r>
            <m:t>π</m:t>
          </m:r>
          <m:sSup>
            <m:e>
              <m:r>
                <m:t>R</m:t>
              </m:r>
            </m:e>
            <m:sup>
              <m:r>
                <m:t>3</m:t>
              </m:r>
            </m:sup>
          </m:sSup>
        </m:e>
      </m:mr>
    </m:m>
  </m:oMath>
</m:oMathPara>